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Finding the Fourth Proportional to 500,470.75, 750,700.25 and 200,946.07

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Solution

The fourth proportional to 500,470.75, 750,700.25 and 200,946.07 is: 301,416.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    500,470.75 : 750,700.25 = 200,946.07 : x
  2. Step 2: Convert to fraction form
    500,470.75/750,700.25 = 200,946.07/x
  3. Step 3: Cross multiply
    500,470.75x = 750,700.25 × 200,946.07
  4. Step 4: Simplify right side
    500,470.75x = 150,850,262,580.34
  5. Step 5: Solve for x
    x = 150,850,262,580.34/500,470.75
  6. Step 6: Final answer
    x = 301,416.74

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.